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Finding the Third Proportional to 3,505,121.86 and 7,288,879.92

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Solution

The third proportional to 3,505,121.86 and 7,288,879.92 is: 15,157,182.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505,121.86 : 7,288,879.92 = 7,288,879.92 : x
  2. Step 2: Convert to fraction form
    3,505,121.86/7,288,879.92 = 7,288,879.92/x
  3. Step 3: Cross multiply
    3,505,121.86x = 7,288,879.92 × 7,288,879.92
  4. Step 4: Simplify right side
    3,505,121.86x = 53,127,770,515,512.51
  5. Step 5: Solve for x
    x = 53,127,770,515,512.51/3,505,121.86
  6. Step 6: Final answer
    x = 15,157,182.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.